2 years ago

Write 5^2 ÷ √5 as a single power of 5

Mathematics

1 answer:

ella [17]2 years ago

3 0

The answer is 5 square root of 5.

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What is the value of x and the length of segment DE?

Mandarinka [93]

Answer:

Part 1) $x=6.6\ units$

Part 2) $DE=16.2\ units$

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

$CD/FD=FD/DE$

$\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units$

Part 2) Find the length of DE

$DE=2x+3$

substitute the value of x

$DE=2(6.6)+3=16.2\ units$

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Write 5^2 ÷ √5 as a single power of 5​

Write 5^2 ÷ √5 as a single power of 5